Hippocampal place cells fire within a contiguous region of the
animal's local environment, or `place field' [1]}. Place
fields are thought to collectively form cognitive maps [2]}
that are stabilized (at least in part) via attractor dynamics,
such as fixed points or continuous manifolds of the network energy
surface, that drive activity toward low-dimensional spatial or task
representations (Fig. REF B; [3]}). Attractor
map models have shown that recurrent connectivity between place cells with
nonlinear integration of inputs is nearly sufficient to achieve stable spatial
attractors [4]}, [5]}, [6]}. For instance, a rate-based network
following
\(\frac{dr_i}{dt} = -r_i + g\left( \sum _j J_{ij}r_j + I_i \right) \, ,\) 
